Q3: A square element 8 8mm in an undeformed sheet of 0.8mm-thickness becomes a rectangle, 6.5 x 9.4mm after forming. Assume that the stress strain law is: 600 (0.008+)0.22 MPa. and that the stress normal to the sheet is zero. Determine: a. the final membrane stresses, b. the final thickness c. the principal strains.

Q3: A square element 8 8mm in an undeformed sheet of 0.8mm-thickness becomes a rectangle, 6.5 x 9.4mm after forming. Assume that the stress strain law is: 600 (0.008+)0.22 MPa. and that the stress normal to the sheet is zero. Determine: a. the final membrane stresses, b. the final thickness c. the principal strains.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: For some metal alloy, a true stress of 345 MPa (50040 psi) produces a plastic true strain of 0.02.…

A: The step by step solution for this problem is shown below.

Q: 1.2x 10-in. Undeformed Deformed EXAMPLE: 6. An initially rectangular element of material is deformed…

A: Draw the given diagram.

Q: 1.2 x 10-in. Undeformed Deformed B A An initially rectangular element of material is deformed as…

A: Normal strain: The ratio of the change in length to the initial length of any object in any specific…

Q: nodulus of dulüs öf the mate the thermal strain, e

A: GIVEN:L=2md=50mmT1=20CT2=350CE=80GPa

Q: Consider a linear rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of…

Q: A 24 in long aluminium rod is just lying free on the floor of a machine shop in winter at -4°C…

A: Given data: - The length of the aluminium rod is L = 24 in. The winter temperature is Tw = -4 oC.…

Q: A stress-strain diagram for a tension test of an alloy steel sample is shown in the diagram below.…

A: Stress-Strain curve describes the relationship between stress and strain under a certain load in…

Q: At a point in a thin steel plate in plane stress (0z = Tx2 = Tyz = 0), Ex =800µ, Ey= - 400µ, and Yky…

A: The stresses in the element along the x and y direction in the above question can be obtain by the…

Q: At a temperature of 15˚C, a steel bar just fits between two rigid supports. Its length is L = 5 m,…

Q: A solid bar of length L = 4 m and diameter 100 mm is heated from 20 to 400 degrees celsius and…

Q: wo plates 16 mm thick are joined by a double riveted lap joint. The pitch each row of rivets is 90…

Q: c) A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m…

A: Given Data The daimeter of truss tie rod is:d=9.52 mm The length is:l=1.75 m The stress experienced…

Q: ongitudinal strain for a wire is 0.03 and isson's ratio is 0.5, then its lateral strain 0.003 75ח ת…

A: Option (3) is correct. Lateral strain = 0.015

Q: The coal consumption per hour is the ratio of heat of combustion and calorific value.

A: True

Q: 1. In detail, when a material is loaded longitudinally in uniaxial compression, a. There is a…

Q: A solid circular bar is acted upon by tensile force of 20N. The diameter of circular Bar is 10 mm.…

A: Given:P=20 Nd=10 mm∆L=0.2 mL=10 m

Q: body moving at 0.500 C with respect to an observer disintegrated into two fragments that move in…

A: According to the addition of velocities, the velocity of the fragment moving with velocity 0.600c is…

Q: A closed thin walled cylindrical vessel has a diameter D of 890 mm, a wall thickness t of 1.5 mm and…

Q: With the force P appliced on a member, the stress distributions at different cross sections are…

Q: 3. Find the young's modulus of a bars a rod of diameter 25 mm and of length 250 mm which is…

A: Givend=25mmL=250mmP=50kN∆=0.3mmif E=2×105 N/mm2

Q: A bar produces a lateral strain of -70 × 10-5 when subjected to tensile stress of magnitude 400 MPa…

A: Given, Lateral strain = εl = -70 x 10-5 Tensile axial stress = σ = 400 MPa Poisson's ratio = μ = 0.3…

Q: Q3//Find the plastic tensile strain at failure alloy rod have initial length 1m with a 50cm in…

A: given data initial length = 1 m , diameter = 50cm final length = 3 m find the plastic tensile strain…

Q: teel plate (E = 31000 ksi, G= 12000 ksi, alpha (a) = 6 * 10 ^ -6 1/F ) with dimensions a = 20 in and…

A: GivenE=31000ksiG=12000ksiα=6×10-6 /Foa=20inb=13int=7.5inσ=-50ksi∆T=100Fo

Q: 3. If the engineering strain in a tensile bar is 0.0025 and Poisson's ratio is 0.33, find the…

Q: 4. A cylindrical metal wire 2m long is loaded in tension, causing it to extend 15mm. Calculate the…

A: GivenL=2m∆L=15mm=0.015m

Q: Q2) An external ocompressive load of 900 kN is applied on compound bar consists of three bronze bars…

Q: You are given a square rod of 6061-T6 aluminum (cross-section = 4mm X 4mm, length = 2.3m). The…

A: The cross section of the square rod is, A=4 mm×4 mm The length of the rod is, L=2.3 m The Young's…

Q: 1)Daw the strain and stress diagrams for untracked plain concrete shown below. Developed the tension…

A: Data given - X1 = 72.1 X2 = 620.4 X3 = 144.2

Q: Q1. (i) Initial strain Please enter your supplied question data Q1. (ii) 20 B (hr¹Pa-¹) n 0.003…

A: Creep is a below-the-yield strength of metal, the type of metal deformation that occurs at stresses…

Q: Problem F2 stress (ksi) 130 120 110 100 90- 80 70 60 50 40 30 20 10 0 0.000 0.025 0.050 0.075 0.100…

A: The elastic modulus is E=29000 ksi. The diameter of the cylindrical specimen is d=2 in

Q: stress component oy is

A: From the given fig;Strain in the Z -direction is 0Yield strength in uniaxial tension of material of…

Q: A spherical gas container made of steel has a diameter is 500 mm, the pressure is 18 MPa, the yield…

A: Write the given data. Diameter, di=500 mmPressure, P=18 MPaYield stress in tension, σyt=975 MPaYield…

Q: b-the true stress (in MPa) and true strain at failure. do = 14mm Io=55mm de=10.5mm Iş=73.7mm %3D

A: Stress is the intensity of force acting over a unit area. It is denoted by the symbol σ. Engineering…

Q: A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m…

Q: Given the stress-strain behavior of a brass specimen below, estimate its Brinell hardness value. 500…

Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

Q3: A square element 8x8mm in an undeformed sheet of 0.8mm thickness
becomes a rectangle, 6.5 x 9.4mm after forming. Assume that the stress
strain law is: 600 (0.008+)0.22 MPa. and that the stress normal to
the sheet is zero. Determine:
a. the final membrane stresses, b. the final thickness c. the principal strains.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

In constructing a large mobile, Jude hangs an aluminum sphere of mass 6.0kg from a vertical steel wire 0.50m long and 2.5x10^−3 cm^2 in cross-sectional area. On the bottom of the sphere, he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0kg. For each wire, compute: (a) The tensile strain and(b) The elongation
A metal rod is 50 mm in diameter and 1.3 m long. The rod has a collar on one end and is suspended vertically. The height through which this load may fall if the instantaneous stress is limited to 90 MPa is 1.71870x 10-3 m. The value of Young modulus is 132.40 GPa. 2.1 Calculate an extension when a weight of 30 kN is suddenly lowered onto the collar. 2.2 Calculate the force required to cause the maximum stress.
Problem #3 (5 points): A mechanical system is subjected to normal and shear forces that cause normal strain of 0.002 (mm/mm) and shear strain of 0.001 rad. If the normal stress is 250 MPa and the Poisson's ratio is 0.3, determine the shear stress.
8. A steel 0.6 inch x 1.2 inch steel 90 m long is subjected to a 4500 lbs tensile load along its length. poison's ratio is 0.3. Find A. The deformation along its length B. The deformation along its thickness C. The deformation along its width D. The lateral strains
2
"ll zain 1Q ۲۸ مارس، ۲۰۲۱ -> docs.google.com/forms/d/e Q3/ A compound bar is held between two supports as shown in figure 2. If the temperature of the bar is raised from 25°C to 75°C, find the stresses induced in each rod by assuming (a) if the supports do not yield and (b) if the supports yield by 0.25 mm. Take E1= 200 kN/mm2, E2 = 30 kN/mm2, E3 = 100 kN/mm2, And, a1= 1.2 x 10-5/°C, a2= 1.8 x 10-5/°C d3= 1.6 x 10-5/°C Q3/ * 0= 150 mm 0= 100 mm 0= 50 mm Figure 2 200 mm 300 mm 500 mm (1) 01= 194.78 N/mm2, a2= 48.7 N/mm2, 03= 21.64 N/mm2/(2) 01= 133.14 N/mm2, 02 33.28 N/mm2, a3= 14.79 N/mm2 (1) 01- 184 3anm2, 92- 44.73 N/mm2. 03- 24.64 N/min2/ (2) a1 143.14 N/mm2 o2 36 21 N/mm2, 03-14.79 N/mm2 (1) a1- 190.28 N/mm2, 02 48.26 N/mm2,
M13.6 Principal stresses from rosette data scenes -200 µE 23 Eb = 200 με Ec 500 µE 30° 30° Ex (LE) a Ey (µE) Yxy (Lurad) The strain rosette shown was used to obtain normal strain data at a point on the free surface of a steel (E = 200 GPa; v = 0.32) plate. Op1 (MPa) Determine the normal strains, the shear strain, and the principal stresses in the x-y plane. Op2 (MPa) Try One 1st 2nd 3rd attempt enter
Question 7 At the proportional limit, a certain material has a stress of 75 MPa as the strain is 0.0007. What is the modulus of elasticity of the material in GPa?
The structure shown in Fig. la is subjected to loading P and T. A set of strain rosette is positioned at point A for strain measurement. The orientation of the strain rosette is shown in Fig. 1b. The material properties are given as E = 200 GPa, G = 77 GPa and v = 0.3. If P = 10 kN and T= 250 Nm, find the following: i. The state of stress at point A and sketch the stress element. ii. The principal stress at point A and sketch the stress element. iii. The principal strain at point A and sketch the strain element. iv. The values of each strain gauge (Ea, Eb and ɛc). V. Name one change that can be done to lower the strain value at point A. 50mm 75mm 120 120° T Ø 50mm Ø35mm Fig. la Fig. 1b -----
Q1B
Figure 2.1. shows two long plates with same material and equal width w=20 mm that are subjected to a uniaxial tensile load o. One of the plates has a single small central hole with diameter 4mm and another plate has two small holes with a distance of 8mm from each other. The holes are perpendicular to the external tensile load. Develop a computer code (or simulation model) and analyze how stresses will be distributed at the tip of the holes in these two plates for different values of 0. 4mm Figure 2.1. 8mm 4mm
Problem 2: Use an eigenvalue approach to solve for the principal stresses and directions for the state of stress shown below. Show the principal stresses on a properly oriented element of material. 20 mPa